A triangle sequence of polynomial coefficients:p(x,n)=Sum[Binomial[n, k]*(-x)^k*Sum[StirlingS2[n, m]*x^m, {m, 0, n - k}], {k, 0, n}].

A174859

A triangle sequence of polynomial coefficients:p(x,n)=Sum[Binomial[n, k]*(-x)^k*Sum[StirlingS2[n, m]*x^m, {m, 0, n - k}], {k, 0, n}].

Terms

    a(0) =1a(1) =0a(2) =1a(3) =0a(4) =1a(5) =-1a(6) =0a(7) =1a(8) =0a(9) =-5a(10) =0a(11) =1a(12) =3a(13) =-16a(14) =15a(15) =0a(16) =1a(17) =10a(18) =-40a(19) =25a(20) =56a(21) =0a(22) =1a(23) =25a(24) =-81a(25) =-30a(26) =370a(27) =-455a(28) =0a(29) =1

External references